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Finding the Fourth Proportional to 510, 765.06 and 185.40

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Solution

The fourth proportional to 510, 765.06 and 185.40 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 765.06 = 185.40 : x
  2. Step 2: Convert to fraction form
    510/765.06 = 185.40/x
  3. Step 3: Cross multiply
    510x = 765.06 × 185.40
  4. Step 4: Simplify right side
    510x = 141,842.12
  5. Step 5: Solve for x
    x = 141,842.12/510
  6. Step 6: Final answer
    x = 278.12

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